Cremona's table of elliptic curves

38115 = 3² · 5 · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
38115a (1 curve)	1	3+ 5+ 7+ 11+	-2 3+ 5+ 7+ 11+  2 -7 -1
Curve Equation t Generators 38115a1 [0,0,1,-2673,-89026] 1 [66:148:1]
38115b (2 curves)	0	3+ 5+ 7+ 11-	-1 3+ 5+ 7+ 11-  2  2 -4
Curve Equation t 38115b1 [1,-1,1,1020007,206344856] 2 38115b2 [1,-1,1,-4651868,1758169856] 2
38115c (1 curve)	0	3+ 5+ 7- 11+	2 3+ 5+ 7- 11+ -2  7  1
Curve Equation t 38115c1 [0,0,1,-323433,118493273] 1
38115d (2 curves)	1	3+ 5+ 7- 11-	-1 3+ 5+ 7- 11- -6 -6  4
Curve Equation t Generators 38115d1 [1,-1,1,-23,-14594] 2 [40:197:1] 38115d2 [1,-1,1,-9098,-326774] 2 [-52:86:1]
38115e (1 curve)	0	3+ 5- 7+ 11+	2 3+ 5- 7+ 11+  2  7 -1
Curve Equation t 38115e1 [0,0,1,-297,3297] 1
38115f (2 curves)	1	3+ 5- 7+ 11-	1 3+ 5- 7+ 11-  2 -2 -4
Curve Equation t Generators 38115f1 [1,-1,0,9180066,-5580491185] 2 [40883806:570751997:68921] 38115f2 [1,-1,0,-41866809,-47428719310] 2 [482088086:2778921752:68921]
38115g (1 curve)	1	3+ 5- 7- 11+	-2 3+ 5- 7- 11+ -2 -7  1
Curve Equation t Generators 38115g1 [0,0,1,-35937,-4388640] 1 [605:13975:1]
38115h (2 curves)	0	3+ 5- 7- 11-	1 3+ 5- 7- 11- -6  6  4
Curve Equation t 38115h1 [1,-1,0,-204,394235] 2 38115h2 [1,-1,0,-81879,8904770] 2
38115i (2 curves)	0	3- 5+ 7+ 11+	-1 3- 5+ 7+ 11+ -4  0  4
Curve Equation t 38115i1 [1,-1,1,-12728,410842] 2 38115i2 [1,-1,1,-72623,-7183844] 2
38115j (4 curves)	1	3- 5+ 7+ 11-	1 3- 5+ 7+ 11-  2 -6 -4
Curve Equation t Generators 38115j1 [1,-1,0,-17688105,-28628790800] 2 [-808897901903140652499468:402358156379434585579670:333166097351635323677] 38115j2 [1,-1,0,-17693550,-28610278889] 4 [-454320128775986:-573245225359007:183928777703] 38115j3 [1,-1,0,-12929175,-44367972764] 2 [1793689029889751152986410:100659420535013179277809247:282661794131167713592] 38115j4 [1,-1,0,-22545045,-11667888050] 2 [-17654018:-1623005732:12167]
38115k (4 curves)	1	3- 5+ 7+ 11-	1 3- 5+ 7+ 11-  6  2  8
Curve Equation t Generators 38115k1 [1,-1,0,-2745,53136] 2 [42632:301149:512] 38115k2 [1,-1,0,-8190,-218025] 4 [210:2595:1] 38115k3 [1,-1,0,19035,-1377810] 2 [11988:183141:64] 38115k4 [1,-1,0,-122535,-16477884] 2 [3374:19063:8]
38115l (4 curves)	1	3- 5+ 7+ 11-	1 3- 5+ 7+ 11- -6  2 -4
Curve Equation t Generators 38115l1 [1,-1,0,-3438540,168555195] 2 [-63685389950:466085576367:34328125] 38115l2 [1,-1,0,-39163185,94117226616] 4 [-111410900:-1568977038:15625] 38115l3 [1,-1,0,-23726610,169055623611] 2 [21895166046:24426672620277:17576] 38115l4 [1,-1,0,-626194080,6031465104825] 2 [-28520:-817615:1]
38115m (6 curves)	1	3- 5+ 7+ 11-	-1 3- 5+ 7+ 11-  2  2 -4
Curve Equation t Generators 38115m1 [1,-1,1,38092,-831265234] 2 [7886407443408:6503143447930:8502154921] 38115m2 [1,-1,1,-13035353,-17790138088] 4 [9146436:15515011:2197] 38115m3 [1,-1,1,-27709628,29613639872] 2 [-1460:259488:1] 38115m4 [1,-1,1,-207536198,-1150718660044] 4 [39798018195:169365899002204:2197] 38115m5 [1,-1,1,-206507093,-1162696207318] 2 [1298241801112389249771408:5524845206260427765301669983:71667820866277376] 38115m6 [1,-1,1,-3320578823,-73648500528094] 2 [10364515697116029057726:44107443715715857003594517:572159086681832]
38115n (2 curves)	1	3- 5+ 7+ 11-	-1 3- 5+ 7+ 11- -4 -4  8
Curve Equation t Generators 38115n1 [1,-1,1,-23,251606] 2 [36:-563:1] 38115n2 [1,-1,1,-59918,5570282] 2 [58:1483:1]
38115o (1 curve)	1	3- 5+ 7+ 11-	-2 3- 5+ 7+ 11-  2 -3 -1
Curve Equation t Generators 38115o1 [0,0,1,-363,293818] 1 [-11:544:1]
38115p (2 curves)	1	3- 5+ 7+ 11-	-2 3- 5+ 7+ 11-  6 -7  5
Curve Equation t Generators 38115p1 [0,0,1,-9736023,13693302378] 1 [6908:525442:1] 38115p2 [0,0,1,-29174673,-1146695537232] 1 [380259666730555898:-8498799751908355133:32847936913576]
38115q (2 curves)	1	3- 5+ 7- 11+	1 3- 5+ 7- 11+  4  0 -4
Curve Equation t Generators 38115q1 [1,-1,0,-105,-280] 2 [-4:10:1] 38115q2 [1,-1,0,-600,5561] 2 [-8:103:1]
38115r (1 curve)	0	3- 5+ 7- 11-	0 3- 5+ 7- 11-  4 -5 -1
Curve Equation t 38115r1 [0,0,1,593142,91734849] 1
38115s (6 curves)	0	3- 5+ 7- 11-	-1 3- 5+ 7- 11-  2 -6  4
Curve Equation t 38115s1 [1,-1,1,-288608,59749242] 2 38115s2 [1,-1,1,-294053,57381756] 4 38115s3 [1,-1,1,277672,253140396] 2 38115s4 [1,-1,1,-952898,-289961328] 4 38115s5 [1,-1,1,1981957,-1725692394] 2 38115s6 [1,-1,1,-14429273,-21092093778] 2
38115t (4 curves)	0	3- 5+ 7- 11-	-1 3- 5+ 7- 11-  6  6  4
Curve Equation t 38115t1 [1,-1,1,-39953,4146112] 2 38115t2 [1,-1,1,-698798,224990956] 4 38115t3 [1,-1,1,-758693,184190482] 2 38115t4 [1,-1,1,-11180423,14391955306] 2
38115u (2 curves)	1	3- 5- 7+ 11+	-1 3- 5- 7+ 11+  2 -2 -4
Curve Equation t Generators 38115u1 [1,-1,1,4828,-14506] 2 [52:-639:1] 38115u2 [1,-1,1,-19427,-101824] 2 [276:-4076:1]
38115v (2 curves)	1	3- 5- 7+ 11+	-1 3- 5- 7+ 11+ -4  4 -4
Curve Equation t Generators 38115v1 [1,-1,1,-23882882,-42894628576] 2 [-91590391371592:961172834021168:28962726911] 38115v2 [1,-1,1,-67546337,158673345086] 2 [1383631082:-56091965097:571787]
38115w (1 curve)	0	3- 5- 7+ 11-	0 3- 5- 7+ 11-  0  3  3
Curve Equation t 38115w1 [0,0,1,-143022,67292365] 1
38115x (2 curves)	0	3- 5- 7+ 11-	0 3- 5- 7+ 11-  4  3  1
Curve Equation t 38115x1 [0,0,1,-1452,-1234170] 1 38115x2 [0,0,1,-916212,-337568553] 1
38115y (3 curves)	0	3- 5- 7+ 11-	0 3- 5- 7+ 11- -5  3 -2
Curve Equation t 38115y1 [0,0,1,-1452,23625] 1 38115y2 [0,0,1,9438,-60228] 1 38115y3 [0,0,1,-143022,-21778155] 1
38115z (4 curves)	0	3- 5- 7+ 11-	1 3- 5- 7+ 11-  2  6 -4
Curve Equation t 38115z1 [1,-1,0,-221634,40187263] 2 38115z2 [1,-1,0,-270639,21143920] 4 38115z3 [1,-1,0,987156,161262283] 2 38115z4 [1,-1,0,-2312514,-1338336455] 2
38115ba (2 curves)	0	3- 5- 7- 11+	1 3- 5- 7- 11+ -2  2  4
Curve Equation t 38115ba1 [1,-1,0,584226,17554455] 2 38115ba2 [1,-1,0,-2350629,142579278] 2
38115bb (2 curves)	0	3- 5- 7- 11+	1 3- 5- 7- 11+  4 -4  4
Curve Equation t 38115bb1 [1,-1,0,-197379,32281200] 2 38115bb2 [1,-1,0,-558234,-119061387] 2
38115bc (4 curves)	1	3- 5- 7- 11-	1 3- 5- 7- 11-  2 -2  4
Curve Equation t Generators 38115bc1 [1,-1,0,-3834,-662337] 2 [846:2187:8] 38115bc2 [1,-1,0,-139959,-20019312] 4 [58926:5020887:8] 38115bc3 [1,-1,0,-221634,6100353] 2 [-12624:79517:27] 38115bc4 [1,-1,0,-2236284,-1286618877] 2 [4723490058:395674731141:636056]
38115bd (4 curves)	1	3- 5- 7- 11-	-1 3- 5- 7- 11-  2  6 -4
Curve Equation t Generators 38115bd1 [1,-1,1,-12002,-400584] 2 [-60:347:1] 38115bd2 [1,-1,1,-61007,5460414] 4 [-162:3408:1] 38115bd3 [1,-1,1,53338,23481186] 2 [-184:2814:1] 38115bd4 [1,-1,1,-959432,361955454] 2 [-646:27003:1]
38115be (1 curve)	1	3- 5- 7- 11-	2 3- 5- 7- 11-  2 -3  5
Curve Equation t Generators 38115be1 [0,0,1,9031803,10331378725] 1 [-19580:5557135:64]
38115bf (1 curve)	1	3- 5- 7- 11-	-2 3- 5- 7- 11-  2  1  7
Curve Equation t Generators 38115bf1 [0,0,1,-137577,19705122] 1 [275:1633:1]

Data from Elliptic Curve Data by J. E. Cremona.
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